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2989960336 = 2411213711273
BaseRepresentation
bin1011001000110111…
…0010110010010000
321201101010201111201
42302031302302100
522110412212321
61212405120544
7134044146346
oct26215626220
97641121451
102989960336
1112a4833500
126b53b9154
133885aa8cc
14205151996
1512775e291
hexb2372c90

2989960336 has 60 divisors (see below), whose sum is σ = 6414612876. Its totient is φ = 1349032960.

The previous prime is 2989960313. The next prime is 2989960367. The reversal of 2989960336 is 6330699892.

It can be written as a sum of positive squares in 2 ways, for example, as 1239040000 + 1750920336 = 35200^2 + 41844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259596 + ... + 270868.

Almost surely, 22989960336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989960336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207306438).

2989960336 is an abundant number, since it is smaller than the sum of its proper divisors (3424652540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2989960336 is a wasteful number, since it uses less digits than its factorization.

2989960336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11440 (or 11423 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The square root of 2989960336 is about 54680.5297706597. The cubic root of 2989960336 is about 1440.6389165787.

The spelling of 2989960336 in words is "two billion, nine hundred eighty-nine million, nine hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 137 176 242 274 484 548 968 1096 1507 1936 2192 3014 6028 11273 12056 16577 22546 24112 33154 45092 66308 90184 124003 132616 180368 248006 265232 496012 992024 1364033 1544401 1984048 2728066 3088802 5456132 6177604 10912264 12355208 16988411 21824528 24710416 33976822 67953644 135907288 186872521 271814576 373745042 747490084 1494980168 2989960336